Theoretical stability analysis of mixed finite element model of shale-gas flow with geomechanical effect

IF 1.8 4区 工程技术 Q4 ENERGY & FUELS
M. El-Amin, Jisheng Kou, Shuyu Sun
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引用次数: 2

Abstract

In this work, we introduce a theoretical foundation of the stability analysis of the mixed finite element solution to the problem of shale-gas transport in fractured porous media with geomechanical effects. The differential system was solved numerically by the Mixed Finite Element Method (MFEM). The results include seven lemmas and a theorem with rigorous mathematical proofs. The stability analysis presents the boundedness condition of the MFE solution.
考虑地质力学效应的页岩气流动混合有限元模型理论稳定性分析
本文为考虑地质力学效应的裂缝性多孔介质中页岩气输运问题的混合有限元稳定性分析提供了理论基础。采用混合有限元法对微分系统进行了数值求解。结果包括七个引理和一个具有严格数学证明的定理。稳定性分析给出了MFE解的有界性条件。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
2.70
自引率
0.00%
发文量
0
审稿时长
2.7 months
期刊介绍: OGST - Revue d''IFP Energies nouvelles is a journal concerning all disciplines and fields relevant to exploration, production, refining, petrochemicals, and the use and economics of petroleum, natural gas, and other sources of energy, in particular alternative energies with in view of the energy transition. OGST - Revue d''IFP Energies nouvelles has an Editorial Committee made up of 15 leading European personalities from universities and from industry, and is indexed in the major international bibliographical databases. The journal publishes review articles, in English or in French, and topical issues, giving an overview of the contributions of complementary disciplines in tackling contemporary problems. Each article includes a detailed abstract in English. However, a French translation of the summaries can be provided to readers on request. Summaries of all papers published in the revue from 1974 can be consulted on this site. Over 1 000 papers that have been published since 1997 are freely available in full text form (as pdf files). Currently, over 10 000 downloads are recorded per month. Researchers in the above fields are invited to submit an article. Rigorous selection of the articles is ensured by a review process that involves IFPEN and external experts as well as the members of the editorial committee. It is preferable to submit the articles in English, either as independent papers or in association with one of the upcoming topical issues.
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